I think its all going to depend on the context and how the word is used. I can only give you my own understanding and usage of the words and it could very well be used differently in different english-speaking cultures.
If the object of awareness is neutral process such as the breath or some other psycho-physical phenomena - I would be inclined to class it as mindfulness (in the Buddhist usage of the term). I'm no psychologist but I think 'self consciousness' is usually used to describe someone's response to others. Certainly I think there is some sati going on, but my understanding of self-consciousness is that it is more closely tied to aversion to feelings of inadequacy, guilt, lack of esteem etc.
It shouldn't be confused with conscientious which means to be punctual, consistent or a predilection to attend to the detail of a task.
“No lists of things to be done. The day providential to itself. The hour. There is no later. This is later. All things of grace and beauty such that one holds them to one's heart have a common provenance in pain. Their birth in grief and ashes.”
- Cormac McCarthy, The Road
Learn this from the waters:
in mountain clefts and chasms,
loud gush the streamlets,
but great rivers flow silently.
- Sutta Nipata 3.725
(Buddhist aid in Myanmar) • •
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